6533b82cfe1ef96bd128f79e

RESEARCH PRODUCT

Nonlinear elliptic equations involving the p-Laplacian with mixed Dirichlet-Neumann boundary conditions

Gabriele BonannoAngela SciammettaGiuseppina D'aguì

subject

General MathematicsOperator (physics)lcsh:T57-57.97010102 general mathematicsMathematical analysisCritical points01 natural sciencesDirichlet distributionMixed problemCritical point010101 applied mathematicsNonlinear systemsymbols.namesakeSettore MAT/05 - Analisi Matematicalcsh:Applied mathematics. Quantitative methodsp-LaplacianNeumann boundary conditionsymbolsMathematics (all)Boundary value problem0101 mathematicsDifferential (mathematics)Critical points; Mixed problem; Mathematics (all)Mathematics

description

In this paper, a nonlinear differential problem involving the \(p\)-Laplacian operator with mixed boundary conditions is investigated. In particular, the existence of three non-zero solutions is established by requiring suitable behavior on the nonlinearity. Concrete examples illustrate the abstract results.

yearjournalcountryeditionlanguage
2019-01-01
10.7494/opmath.2019.39.2.159http://hdl.handle.net/11570/3140263